Bmo Preparation
University Admissions BMO Preparation notes covering key definitions, core concepts, worked examp…
University Notes
Rigorous, proof-based undergraduate STEM notes covering linear algebra, calculus, mechanics, and electromagnetism.
Admissions
Many competitive university programmes require applicants to sit specialised admissions tests as …
Flashcards Admissions
20 interactive flashcards covering TMUA, personal statements, Oxbridge interviews, extracurricula…
Imo Preparation
University Admissions IMO Preparation notes covering key definitions, core concepts, worked examp…
Mat Preparation
University Admissions MAT Preparation notes covering key definitions, core concepts, worked examp…
Practice Admissions
10 auto-graded practice problems ranging from easy to hard. Select an answer, su
Step Preparation
University Admissions STEP Preparation notes covering key definitions, core concepts, worked exam…
Tmua Preparation
University Admissions TMUA Preparation notes covering key definitions, core concepts, worked exam…
Chemistry
University-level chemistry notes covering physical, organic, and inorganic chemistry with worked …
Physical Chemistry
Topics in physical chemistry including thermodynamics, kinetics, quantum chemistry, and spectrosc…
Organic Chemistry
Topics in organic chemistry including reaction mechanisms, functional group chemistry, and synthe…
Inorganic Chemistry
Inorganic chemistry covers the chemistry of all elements except carbon in its primary organic for…
Computer Science
Computer science is the study of computation, information, and abstraction. It encompasses the de…
Algorithms
The study of algorithms is central to computer science. An algorithm is a finite, well-defined se…
Systems
Topics in computer systems including operating systems, computer architecture, concurrency, and n…
Theory
Theoretical computer science establishes the formal foundations of the discipline. It addresses f…
Computing
University-level computing notes covering discrete mathematics, algorithms, networks, databases, …
Discrete Mathematics
Discrete mathematics provides the mathematical foundations required throughout computer science. …
Algorithms And Data Structures
Algorithms and data structures form the core of practical computer science. An algorithm is a ste…
Computer Networks
Computer networks enable the exchange of data between devices across local and wide areas. The st…
Databases
Topics in database systems including the relational model, SQL, normalisation, indexing, transact…
Operating Systems
Topics in operating systems including process management, synchronisation, memory management, fil…
Theory Of Computation
Topics in the theory of computation including automata, formal languages, Turing machines, and co…
Algorithms And Data Structures
Algorithms and Data Structures: comprehensive educational content notes with precise definitions,…
Computer Networks
UNIVERSITY Computing notes: Computer Networks. Comprehensive study material with definitions, exa…
Databases
UNIVERSITY Computing notes: Database Systems. Comprehensive study material with definitions, exam…
Discrete Mathematics
UNIVERSITY Computing notes: Discrete Mathematics. Comprehensive study material with definitions, …
Operating Systems
UNIVERSITY Computing notes: Operating Systems. Comprehensive study material with definitions, exa…
Practice Discrete Math
12 practice problems covering propositional logic, set theory, functions, graph theory, and algor…
Theory Of Computation
UNIVERSITY Computing notes: Theory of Computation. Comprehensive study material with definitions,…
Mathematics
This section presents proof-based undergraduate mathematics at the rigour expected of a universit…
Abstract Algebra
Measure Theory
Measure Theory: comprehensive educational content notes with precise definitions, worked examples…
Functional Analysis
Functional Analysis: comprehensive educational content notes with precise definitions, worked exa…
Differential Geometry
Topics in differential geometry including manifolds, tangent spaces, differential forms, Riemanni…
Linear Algebra
Linear Algebra: comprehensive educational content notes with precise definitions, worked examples…
Real Analysis
Real analysis reconstructs the calculus on a rigorous foundation. Where the introductory calculus…
Multivariable Calculus
Multivariable calculus extends the differential and integral calculus to functions of several rea…
Ordinary Differential Equations
Differential Equations: comprehensive educational content notes with precise definitions, worked …
Complex Analysis
Number Theory
For any integers and with There exist unique Integers and such that with .
Probability And Statistics
UNIVERSITY Mathematics notes: Probability Theory. Comprehensive study material with definitions, …
Topology
Topology: comprehensive educational content notes with precise definitions, worked examples, comm…
Abstract Algebra
is the study of algebraic structures — sets equipped with operations satisfying certain axioms. R…
Complex Analysis
Complex Analysis: comprehensive educational content notes with precise definitions, worked exampl…
Differential Equations
UNIVERSITY Mathematics notes: Differential Equations. Comprehensive study material with definitio…
Linear Algebra
Before studying linear algebra, the reader should be familiar with:
Multivariable Calculus
Multivariable Calculus: comprehensive educational content notes with precise definitions, worked …
Number Theory
UNIVERSITY Mathematics notes: Number Theory. Comprehensive study material with definitions, examp…
Probability And Statistics
UNIVERSITY Mathematics notes: Probability and Statistics. Comprehensive study material with defin…
Probability
University Mathematics Probability Theory notes covering key definitions, core concepts, worked e…
Real Analysis
The real numbers form a . The field axioms guarantee closure Under addition, subtraction, multipl…
Physics
This section develops university-level physics from first principles, with emphasis on mathematic…
Classical Mechanics
Thermal Physics
Electromagnetism
UNIVERSITY Physics notes: Electromagnetism. Comprehensive study material with definitions, exampl…
Optics And Waves
- 2
Quantum Mechanics
UNIVERSITY Physics notes: Quantum Mechanics. Comprehensive study material with definitions, examp…
Solid State Physics
Particle Physics And Cosmology
UNIVERSITY Physics notes: Particle Physics and Cosmology. Comprehensive study material with defin…
Classical Mechanics Flashcards
Flashcards covering fundamental concepts in classical mechanics.
Practice Problems
Practice problems covering fundamental concepts in classical mechanics. Each problem includes mul…
Thermodynamics
is the branch of physics that deals with heat, work, temperature, and their relation to energy, e…
How to Use These Notes
- Start with the fundamentals — build a solid foundation before moving to advanced topics
- Work through examples — follow along with the worked examples to build intuition
- Test yourself — use the practice problems and flashcards to check your understanding
- Review regularly — spaced repetition helps retain what you have learned